Finding the Third Proportional to 151,187,821,148 and 323,940,520,345
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Solution
The third proportional to 151,187,821,148 and 323,940,520,345 is: 694,086,732,149.31
Step by Step Solution
- Step 1: Write the proportion equation
151,187,821,148 : 323,940,520,345 = 323,940,520,345 : x - Step 2: Convert to fraction form
151,187,821,148/323,940,520,345 = 323,940,520,345/x - Step 3: Cross multiply
151,187,821,148x = 323,940,520,345 × 323,940,520,345 - Step 4: Simplify right side
151,187,821,148x = 104,937,460,721,389,355,925,504 - Step 5: Solve for x
x = 104,937,460,721,389,355,925,504/151,187,821,148 - Step 6: Final answer
x = 694,086,732,149.31
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.